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Finding the Third Proportional to 5,408 and 6,400

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Solution

The third proportional to 5,408 and 6,400 is: 7,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 6,400 = 6,400 : x
  2. Step 2: Convert to fraction form
    5,408/6,400 = 6,400/x
  3. Step 3: Cross multiply
    5,408x = 6,400 × 6,400
  4. Step 4: Simplify right side
    5,408x = 40,960,000
  5. Step 5: Solve for x
    x = 40,960,000/5,408
  6. Step 6: Final answer
    x = 7,573.96

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.